4485219456480 has 768 divisors, whose sum is σ = 17212408657920. Its totient is φ = 958954733568.

The previous prime is 4485219456467. The next prime is 4485219456527. The reversal of 4485219456480 is 846549125844.

It is a super-2 number, since 2×4485219456480² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4786786572 + ... + 4786787508.

It is an arithmetic number, because the mean of its divisors is an integer number (22411990440).

Almost surely, 2^{4485219456480} is an apocalyptic number.

4485219456480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4485219456480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8606204328960).

4485219456480 is an abundant number, since it is smaller than the sum of its proper divisors (12727189201440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4485219456480 is a wasteful number, since it uses less digits than its factorization.

4485219456480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851 (or 1843 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 60.

The spelling of 4485219456480 in words is "four trillion, four hundred eighty-five billion, two hundred nineteen million, four hundred fifty-six thousand, four hundred eighty".